Discrete Dynamics in Nature and Society
Volume 2006 (2006), Article ID 17237, 9 pages

On periodic orbits in discrete-time cascade systems

Huimin Li and Xiao-Song Yang

Department of Mathematics and Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Received 28 March 2006; Accepted 19 July 2006

Copyright © 2006 Huimin Li and Xiao-Song Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present some results on existence, minimum period, number of periodic orbits, and stability of periodic orbits in discrete-time cascade systems. Some examples are presented to illustrate these results.